VOA Resonant Induction and Projective Socles
About this page
Pipeline-generated
How statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
1 · Prerequisites
Abstract Algebra
Combinatorics
Lie Theory
Linear Algebra
Quantum Algebra and Representation Theory
Quantum Field Theory Mathematics
Real Analysis
2 · Logical flowchart
3 · Items
Lemma
Associative Zhu algebra for resonant induction
Lemma
Algebraic graded dual of an admissible VOA module
Sources
- Tomoyuki Arakawa and Anne Moreau, Arc spaces and vertex algebras
- Chongying Dong, Haisheng Li, and Geoffrey Mason, Vertex operator algebras and associative algebras
- Yi-Zhi Huang, James Lepowsky, and Lin Zhang, Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I
- Chongying Dong and Cuipo Jiang, Rationality of Vertex Operator Algebras